img-download-app
img-download-app

If 3x + 4y = –5 and –2x – 5y = 8, what is the value of y?

Explanation

Line up the two equations. Since the question asks for the value of y, eliminate x. Multiply the first equation by 2 to get 6x + 8y = –10 and second equation by 3 to get –6x –15y = 24. Add the two equations to get –7y = 14. Divide by –7 to get y = – 2 

Visit our website for other GED topics now!
Related questions
What is the difference between the amount of water that can be held by a sphere of diameter 1 centimeter and a cube 1 centimeter on a side? Use 3.14 for π.

A cardboard box measures 12 inches high, 7 inches wide, and 9 inches deep. If another box measuring \(3 \frac{1}{2}\)by \(4 \frac{1}{2}\) inches is to have the same surface area, what will the box’s third dimension need to be?

The dimensions of a rectangular box are 3 inches wide by 4 inches long by 2 inches deep. Which of the following expressions represents the volume (in cubic inches) of the box?
What is the equation of a line parallel to y = 7x + 2 and passing through the point (5, 10)?
Which of the following points is on the line y = 7x – 4?

What is the equation for a line perpendicular to \(6x – 7y = 8\) and passing through the point (8, 1)?

In the graph shown above, what is the x-coordinate of point n if the slope of the line mn is ⅓?

What is the slope of a line perpendicular to \(3 x+4 y=13\)?

If 2x – 5 = 11, then x =
If 3x + 6 = 51, then x =
Evaluate 3x² – 4y, if x = 2 and y = 3.
Freida is not allowed on the roller coaster because she is under the minimum age of 5. Which of the following inequalities expresses all the ages that are allowed on the roller coaster?
If 5x + 3 < 28, then which of the following expressions gives all the possible values of x?
If m is the positive number 4, which of the following inequalities contains the number m?
Two physical therapists have a total of 16 patients to see in one day. Marcie has to see 2 more patients than Lewis. How many patients will Marcie see?
Which of the values of m below would make the inequality 3m < 12 true?

\((x+y)(x-y)=?\)

When an object is stationary and begins to move at a constant acceleration, the square of the velocity is twice the product of the acceleration and the distance traveled. If an object travels at a constant acceleration of 10 m/s² for 45 m, what is its velocity, in meters per second?

Which of the following are the solutions to the equation \(x^{2}-7 x+12=0\)?

Which of the following equations has the same solutions as \(x^{2}-10 x+16=0\) ?

If x = 2y + 5 and x = 3y – 6, what is the value of x?

​John buys 100 shares of stock at \(\$100\) per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares.

How much did he get for the last 50? ​

If \(g(x)=x^{2}-6 x+9\) , which of the following is equal to g(5)?

Which of the following represents the statement, “The function of x is three times 4 more than the square of x”?

A train traveled at a speed of 120 kilometers per hour for \(2 \frac{1}{2}\) hours. How many kilometers did the train travel?

\(3^{3}\)equals which of the following values?

The square root of 7 is between which of the following pairs of numbers?

What is \(\sqrt{0.25}\)?

What is the value of \(9^{\frac{3}{2}}\)?

9 workers decide to draw straws to see who will be the one to stay late and clean up. If there are 9 straws, 8 long and 1 short, what is the probability that Jim, who goes first, will draw the short straw?

A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall.
If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?

\(\frac{\frac{2}{9}}{\frac{12}{10}}=\)

Jill gets paid different rates for working on different projects. She worked on one project Monday, Tuesday, and Friday of last week, and worked on the second project on Wednesday and Thursday of last week. Her hours spent working and pay rates are shown in the table above. What was the range of Jill's daily earnings last week?

In the figure above, by approximately how much did sales of cars increase from 2009 to 2010?

A man is searching through a bin of shirts that are on sale, some for 10% off and some for 20% off. Which sales tag above has been reduced by 20%?

 

What’s the value of x?

On the number line above, point A is … point B.
On the number line above, what is the distance from point A to point B?
If a new point E was to be added to the number line exactly halfway between points A and D, where would it be located?
Missy played 4 Starmaster games at a video arcade. Her scores were 125, 135, 120, and 140.
What was her mean (average) score?
Missy played 4 Starmaster games at a video arcade. Her scores were 125, 135, 120, and 140.
What was her median score?
If there were 24 traffic summonses issued in September, 45 in October, 24 in November, and 39 in December, what was the mode number of summonses issued over the three months?
Amy builds a toothpick model of a bridge for a school project. The real bridge is 1,650 feet long and 134 feet high. Amy's model bridge is only 8 inches high.
Find the scale that Amy uses for her model bridge.
Amy builds a toothpick model of a bridge for a school project. The real bridge is 1,650 feet long and 134 feet high. Amy's model bridge is only 8 inches high.
Determine the approximate length of her model bridge shown in the drawing above.
Consider the following information: Adriana wishes to sell her special cactus apple preserves in cans holding 296 cubic centimeters each. Her canning machine works only with cans 7.5 centimeters in diameter. She needs to know how tall the cans will be so she can get labels printed.
How tall will the cans be?
Consider the following information: Adriana wishes to sell her special cactus apple preserves in cans holding 296 cubic centimeters each. Her canning machine works only with cans 7.5 centimeters in diameter. She needs to know how tall the cans will be so she can get labels printed.
Assuming the labels must be 1 centimeter extra long to overlap and will be as tall as the can, what is the area of paper used for each label?
What happens to the area of a right triangle if each side is doubled in length?