Question

Solve each system by elimination

4x - 7y=13
6x -8y = 2

Answer 1

Explanation:

To solve the system by elimination, we can multiply the first equation by 8 and the second equation by 7 to get:

32x - 56y = 104

42x - 56y = 14

Now we can subtract the second equation from the first:

(32x - 56y) - (42x - 56y) = 104 - 14

Simplifying and solving for x:

-10x = 90

x = -9

Now we can substitute x = -9 into either of the original equations to solve for y. Let's use the first equation:

4x - 7y = 13

4(-9) - 7y = 13

-36 - 7y = 13

-7y = 49

y = -7

Therefore, the solution to the system is x = -9 and y = -7.