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denis-greek [22]
3 years ago
14

Solve the equation -4x + 7 y equals 20. Y=3x+15

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Substitue what y equals for y and solve.

-4x+7(3x+15)=20 \\-4x+27x+105=20 \\23x=-85 \\x=-\boxed{\frac{85}{23}}

Hope this helps.

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<h2>Answer:</h2>

This relation is a function because a function, in fact this is a linear function. We have that:

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As you can see below, all the points have been plotted an this is a linear function. Therefore, with two points we can get the equation, so:

The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1}) \\ \\ \\ y-3=\frac{4-3}{4-2}(x-2) \\ \\ \\ y-3=\frac{1}{2}(x-2) \\ \\ y=\frac{1}{2}x-1+3 \\ \\ y=\frac{1}{2}x+2 \\ \\ \\ Where: \\ \\ (x_{1},y_{1})=(2,3) \\ \\ (x_{2},y_{2})=(4,4)

Finally, the equation is:

\boxed{y=\frac{1}{2}x+2}

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