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In Mathematics / Middle School | 2014-11-12

Solve the system of equations by substitution.

\[ y = 3x - 10 \]
\[ 3x + 2y = 16 \]

Asked by Gimby

Answer (3)

y= 3x - 10 3x + 2y = 16
3x+2(3x-10)=16 3x+6x-20=16 9x-20=16 9x=36 x=4
y=3x-10 y=3(4)-10 y=12-10 y=2

Answered by xsara | 2024-06-10

To solve the system of equations by substitution, we need to solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for y:
y = 3x - 10
Now substitute this value of y into the second equation:
3x + 2(3x - 10) = 16
Now, expand and simplify:
3x + 6x - 20 = 16
9x - 20 = 16
9x = 36
x = 4
Now substitute this value of x back into the first equation to find the value of y:
y = 3(4) - 10
y = 2
Therefore, the solution to the system of equations is x = 4 and y = 2.

Answered by JaymaMays | 2024-06-24

The solution to the system of equations is x = 4 and y = 2. We found this by substituting y from the first equation into the second equation and solving for x first. Finally, we substituted x back into the first equation to find the value of y.
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Answered by JaymaMays | 2024-10-01

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