Question

Find the solution to the system of equations below

y=-5x+3
2x-3y=8

Answer 1

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

1. Elimination
2. Substitution
3. Graphing

Here, we are going to use the elimination method to solve.

Solve:

Given

`\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.`

Convert the first equation's arrangement to correlate with the second equation

`\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.`

Multiply 3 on both sides in the first equation

`\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.`

Eliminate [y] by adding the two equations

`17x = 17`

Divide both sides by 17

`17x / 17=17/17`

`x=1`

`y=-5x+3=-5(1)+3=-5+3=-2`

`(1, -2)`

Hope this helps!! :)

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