Answer:
x = 5, y = -2
Step-by-step explanation:
2x + 5y = 0 --- Equation 1
Equation 1×3: <u>6x</u> + 15y = 0 --- Equation 2
3x - 4y = 23 --- Equation 3
Equation 3×2: <u>6x</u> - 8y = 46 --- Equation 3
<em>We will be eliminating 6x from Equation 2. </em>
Equation 3-2: 6x - 8y - 6x - 15y = 46-0
-23y = 46
y = 46 ÷ -23
<u>y = -2 </u>
Substitute y = -2 into Equation 1:
2x + 5y = 0
2x + 5(-2) = 0
2x + (-10) = 0
2x - 10 = 0
2x = 10
x = 10 ÷ 2
<u>x = 5 </u>
