Equation 1) 2x - 2y = 10
Equation 2) 4x - 5y = 17
Multiply ALL of equation 1 by 2.
1) 2(2x - 2y = 10)
Simplify.
1) 4x - 4y = 20
2) 4x - 5y = 17
Subtract equations from one another.
y = 3
Plug in 3 for y in the first equation.
1) 2x - 2y = 10
2x - 2(3) = 10
Simplify.
2x - 6 = 10
Add 6 to both side.s
2x = 16
Divide both sides by 2.
x = 8
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Check your work by plugging in 8 for x, and 3 for y into the original equations.
2x - 2y = 10 & 4x - 5y = 17
1) 2x - 2y = 10
2(8) - 2(3) = 10
Simplify.
16 - 6 = 10
10 = 10
2) 4x - 5y = 17
4(8) - 5(3) = 17
Simplify.
32 - 15 = 17
17 = 17
Therefore, x = 8, y = 3
~Hope I helped!~