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KATRIN_1 [288]
3 years ago
12

Y= -3x +5 5x -4y = -3

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

The solution of the system of equations is the point <u>(1,2)</u>

Step-by-step explanation:

It is required to solve the system of equations:

y= -3x + 5

5x - 4y = -3

So, substitute with y from the first equation at the second equation:

∴ 5x - 4(-3x + 5) = -3

Solve for x

∴ 5x + 12x - 20 = -3

∴ 17x = -3 +20 = 17

∴ x = 17/17 = 1

∴ y = -3 * 1 + 5 = -3 + 5 =2

So, the solution of the system of equations <u>(1,2)</u>

<u />

<u>Another solution:</u>

The give system of equations can be solved by graph both of them.

So, the solution will be the intersection between the lines.

See the attached figure.

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