Answer:
1. 2x + 5y = 7
2. 3x + 6y = 3
Multiply Equation 1. by -3 and Equation 2. by 2:
1'. -6x - 15y = -21
2'. 6x + 12y = 6
Add Equations 1' and 2' to eliminate x
y(-15 + 12) = (-21 + 6)
-3y = -15
y = 5
Substitute this value of y into either Equation 1 or 2 and solve for x:
1. 2x + 5y = 7 ⇒ 2x + 5(5) = 7
2x = (7 - 25) = -18
x = -9
Check answer:
Does 3(-9) + 6(5) = 3?
Does -27 + 30 = 3?
YES!!
Explanation: