Question

2x+7y=-6
4x-y=18\
show step by step how it is solved

Answer 1

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

• Elimination
• Substitution
• Graphing

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

`\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.`

Multiply the first equation in order to eliminate [x]

`\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.`

Subtract the second equation from the first equation to eliminate [x]

`14y-y=-12+18`

`13y=6`

Divide 13 on both sides

`13y/13=6/13`

`\boxed{y=(6)/(13) }`

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

`\boxed{x=(60)/(13) }`

Hope this helps!! :)

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