`1.5x + 0.8y = -0.1, -0.3x + 0.2y = -0.7` Solve the system of linear equations and check any solutions algebraically.

Expert Answers

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Multiply the second equation by 5 and add it to the first one to eliminate `x:`

`0.8y+y=-0.1-3.5,` or `1.8y=-3.6.`

So `y=-(3.6)/(1.8)=-2` and `x=-(0.1+0.8y)/1.5=1.`

The answer: `x=1` and `y=-2.`

Check this solution:

`1.5x+0.8y=1.5-1.6=-0.1` (true),
`-0.3x+0.2y=-0.3-0.4=-0.7` (true).

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