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Mercle
Mathematics
27 February, 10:28
Solve each system of equation using any method.
7 x + y = 5 2x - y = 4
+3
Answers (
1
)
Zoey Herman
27 February, 10:31
0
x = 1
y = - 2
Step-by-step explanation:
to solve this system of equation, simultaneously using the substitution method
we say let
7 x + y = 5 ... equation 1
2x - y = 4 ... equation 2
from equation 2
2x - y = 4 ... equation 2
2x - 4 = y
y = 2x - 4 ... equation 3
put the value of the y = 2x - 4 into equation 1
7 x + y = 5 ... equation 1
7x + 2x - 4 = 5
9x-4 = 5
9x = 5 + 4
9x = 9
divide both sides by the coefficient of x which is 9
9x/9 = 9/9
x = 1
substitute the value of x = 1 into equation 3
y = 2x - 4 ... equation 3
y = 2 (1) - 4
y = 2 - 4
y = - 2
to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.
2x - y = 4 ... equation 2
2 (1) - (-2) = 4
2 + 2 = 4
4=4 ... proved
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