We can solve the first equation for x:
x = 9.5 - 3.5y
Now, we substitute this expression for x in the second equation:
2(9.5 - 3.5y) + 2y = 14
Distribute 2:
19 - 7y + 2y = 14
Combine like terms:
-5y + 19 = 14
Subtract 19 from both sides:
-5y = -5
Divide both sides by -5:
y = 1
Now, we can substitute this value of y back into the first equation:
x + 3.5(1) = 9.5
x + 3.5 = 9.5
Subtract 3.5 from both sides:
x = 6
Therefore, the solution to the system of equations is x = 6 and y = 1.
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Solve the system by substitution.
x+3.5y=9.5
2x+2y=14
1 answer