Which statement correctly explains how andre should find a solution to the following system of linear equations using elimination? 8s-9t=15 7s-2t=12 options: multiply the first equation by –7 and the second equation by 8, and then subtract. multiply the first equation by 7 and the second equation by 8, and then subtract. multiply the first equation by 2 and the second equation by 9, and then add. multiply the first equation by –2 and the second equation by 9, and then subtract.

answer

the correct answer is the second option

explanation

given the two equations;

and

we can either decide to eliminate or .

if we want to eliminate , then we need to make the coefficients of

in both equations the same.

the coefficient of in equation (2) is and that of equation (1) .

so we multiply equation (1) by and equation (2) by .

now that the coefficients are the same, subtracting the two equations will eliminate from the equation.

also, multiplying the first equation by 2 and the second equation by 9, and then subtract will eliminate

therefore the correct option is b.

note option c will not eliminate , when we add. that makes it incorrect.