Systems of Equations

Ontario 10 Academic (MPM2D)

Substitution method

Consider this system of equations.

Equation 1 | $\frac{4x}{5}+\frac{3y}{5}=4$4x5+3y5=4 |

Equation 2 |
$8x-3y=5$8 |

Which operation will change the fractional coefficients to integer coefficients in this system of equations?

Multiply **Equation 2** by $5$5.

A

Multiply **Equation 1 **by $5$5.

B

Divide **Equation 2** by $3$3.

C

Divide E**quation 1** by $3$3.

D

Multiply **Equation 2** by $5$5.

A

Multiply **Equation 1 **by $5$5.

B

Divide **Equation 2** by $3$3.

C

Divide E**quation 1** by $3$3.

D

Easy

Less than a minute

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Solve systems of two linear equations involving two variables, using the algebraic method of substitution or elimination