Question 1085729
1) 2x - y = 32
2) y - 5x = 13
:
solve equation 2 for y
:
y = 5x + 13
:
substitute for y in equation 1
:
2x - (5x + 13) = 32
:
2x - 5x - 13 = 32
:
-3x = 45
:
x = -15
:
y = 5(-15) + 13
:
y = -62
:
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x = -15 and y = -62
:
check answer by substituting for x and y in equations 1 and 2
:
1) 2(-15) - (-62) = 32
-30 + 62 = 32
32 = 32
:
2) -62 - 5(-15) = 13
-62 + 75 = 13
13 = 13
:
our answer checks
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