Question

Match the following systems of equations to the best method of solving.

Do not actually solve the systems.

Answer 1

I'm not too sure, but

the first system can be solved by b. Elimination Method;

the second system can be solved by a. Substitution Method;

and the third system can be solved by c. Graphing Method.

Answer 2

SYSTEMS OF LINEAR EQUATION IN TWO VARIABLES

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B. Elimination Method ⇒
`\sf \left \{ {{9x \ + \ 2y \ = \ 28} \atop {3x \ - \ 2y \ = \ -17}} \right.`

↬ We can eliminate the variable y because the absolute values of their coefficients are the same.

A. Substitution Method ⇒
`\sf \left \{ {{y \ = \ 3x \ + \ 10} \atop {2x \ - \ 4y \ = \ -6}} \right.`

↬ We can substitute the first equation to the second equation because y is already isolated in the first equation.

C. Graphing Method ⇒
`\sf \left \{ {{y \ = \ (2)/(3)x \ - \ 5} \atop {y \ = \ 2x \ + \ 8}} \right.`

↬ We can graph these two equations because their already written in slope-intercept form which means we can easily identify the slope and the y-intercept.