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August Walter
Mathematics
29 August, 10:24
Solve the system of equations
4x+7y=47
5x-4y=-5
+5
Answers (
1
)
Immanuel Acosta
29 August, 10:31
0
(3,5)
Step-by-step explanation:
To solve the system using the substitution method start by isolating one of the variables in the first equation.
4x+7y-7y=47 - 7y
4x / 4 = (-7y + 47) / 4
x = - 1.75y + 11.75
Next, substitute x = - 1.75y + 11.75 into equation 2 replacing x.
5 (-1.75y + 11.75) - 4y=-5
-8.75y+58.75 - 4y=-5
-8.75y+58.75 - 58.75 - 4y=-5 - 58.75
-8.75y-4y=-63.75
(-12.75y) / -12.75y = (-63.75) / -12.75y
y = 5
Last, substitute y=5 into equation 1 and solve.
4x+7 (5) = 47
4x+35-35=47-35
4x=12
x=3
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