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Solve the given linear system.
x = 2y + 4
x = 10 – 4y
Use the substitution method.
Use the 2y + 4 from the first equation to replace x in the second equation.
2y + 4 = 10 – 4y
Solve for y.
Solve the new equation for y by adding the opposites 4y and –4 to both sides.
6y = 6
y = 1
Replace y with 1 and solve.
Replace y with 1 in either original equation and solve for x.
x = 2y + 4
= 2(1) + 4 = 6
The solution is (6, 1).
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