Answer: x = 4 , y = 6
Explanation:
4 x = 3 y − 2 , 18 = 3 x + y
Solve for y
in the second equation.
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4 x = 3 y − 2 y = 18 − 3 x
Replace all occurrences of
y in 4 x = 3 y − 2
with
18 − 3 x . 4 x = 3 ( 18 − 3 x ) − 2 y = 18 − 3 x
Simplify
3 ( 18 − 3 x ) − 2
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4 x = − 9 x+ 52 y = 18 − 3 x
Move all terms in
4 x = − 9 x + 52
to the left side and simplify.
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13 x − 52 = 0 y = 18 − 3 x
Solve for x
in the first equation.
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x = 4 y = 18 − 3 x
Replace all occurrences of
x in y = 18 − 3 x
with 4 . x = 4 y = 18 − 3 ⋅ 4
Simplify
18− 3 ⋅ 4
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x = 4 y = 6
The solution to the system of equations can be represented as a point.
( 4 , 6 )
The result can be shown in multiple forms.
Point Form:
( 4 , 6 )
Equation Form:
x = 4 , y = 6