X + 3y = 14-5x + 6y = -28Solve systems by substitution

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

Rearrange the first system to get x = -3y + 14. Substitute that into the other system.

$-5x+6y=-28\\\\-5(-3y+14)+6y=-28\\\\15y-70+6y=-28\\\\15y-70+6y=-28\\\\21y-70=-28\\\\21y=42\\\\y=2$

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<h3><u>Solution:</u></h3>

Given, There are "x" number of students at helms.

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$\begin{array}{l}{\text { Number of students in next year }=x+7.8 \% \text { of } x} \\\\ {\text { Number of students in next year }=x\left(1+\frac{7.8}{100}\right)} \\\\ {\text { Number of students in next year }=x(1+0.078)=1.078 x}\end{array}$