What is the solution to this system of equations? 4x + 5y = 7
3x - 2y = -12
Multiply each equation by a number that produces opposite
coefficients for x ory:
45
The solution is
BN

x = -2, y = 3

Step-by-step explanation:

Given equations are,

4x + 5y = 7 (1)

3x - 2y = -12 (2)

Multiply equation (1) by 3

12x + 15y = 21 (3)

Multiply equation (2) by (-4)

-12x + 8y = 48 (4)

Now add equations (3) and (4),

(12x + 15y) + (-12x + 8y) = 21 + 48

(12x - 12x) + (15y + 8y) = 69

23y = 69

y = 3

From equation (2),

3x - 2(3) = -12

3x - 6 = -12

3x = 6 - 12

x = -2

Therefore, x = -2 and y = 3 will be the answer.

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