Question

3x - 4y = 18
x + 3y = -7

Answer 1

3x - 4y = 18

x +3y = -7

3(-7-3y)-4y=18

-21-9y-4y=18

-21-13y=18

13y=-21-18

13y=-39

y=-3

x +3(-3) = -7

x-9=-7

x=-7+9

x=2

Answer 2

(2,-3)

Explanation:

To solve the system of equations:3x - 4y = 18

x + 3y = -7We can use the method of substitution.First, we can solve the second equation for x:x = -3y - 7Then, we can substitute this expression for x in the first equation:3(-3y - 7) - 4y = 18Simplifying and solving for y:-9y - 21 - 4y = 18

-13y = 39

y = -3Now that we have found the value of y, we can substitute it back into either of the original equations to solve for x. Let's use the second equation:x + 3(-3) = -7

x = 2Therefore, the solution to the system of equations is (x,y) = (2,-3).