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Marizza181 [45]
3 years ago
6

Use substitution to solve the system of linear equations. In your final answer, include all of your work.

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

The solution is (1,1)

Step-by-step explanation:

The system of linear equation is

y=-3x+4 and y+\frac{1}{3} y=\frac{4}{3}

Using substitution method, let us substitute y=-3x+4 in the equation

y+\frac{1}{3} y=\frac{4}{3}

-3 x+4+\frac{1}{3}(-3 x+4)=\frac{4}{3}

Multiplying the term -3x+4 by \frac{1}{3}, we get,

-3 x+4-x+\frac{4}{3}=\frac{4}{3}

Subtracting both sides by \frac{4}{3},

-3x+4-x=0

Simplifying, we get,

\begin{aligned}-4 x+4 &=0 \\-4 x &=-4 \\x &=1\end{aligned}

Now, substitute x=1 in y=-3x+4

y=-3(1)+4\\y=-3+4\\y=1

Thus, the solution is (1,1)

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