JesseM080206
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Solve the system of linear equations below, using substitution method.
8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5

Sagot :

Answer:

The solution is (0,4).

Step-by-step explanation:

We are given the following system of equations:

[tex]8x + 9y = 36[/tex]

[tex]3x + 4y = 16[/tex]

Solving by substitution.

In the first equation, we have that:

[tex]8x + 9y = 36[/tex]

[tex]8x = 36 - 9y[/tex]

[tex]x = \frac{36-9y}{8}[/tex]

Replacing in the second equation:

[tex]3x + 4y = 16[/tex]

[tex]3\frac{36-9y}{8} + 4y = 16[/tex]

Multiplying everything by 7

[tex]3(36 - 9y) + 32y = 128[/tex]

[tex]108 - 27y + 32y = 128[/tex]

[tex]5y = 20[/tex]

[tex]y = \frac{20}{5}[/tex]

[tex]y = 4[/tex]

Now, with y, we can find x.

[tex]x = \frac{36-9*4}{8} = 0[/tex]

So the solution is (0,4).

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