Question

question 4 of 10
solve the following system of equations. express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
2x + 7y = -1
4x - 3y = -19

Explanation:

Step1: Eliminate x by multiplying first equation

Multiply the first equation \(2x + 7y=-1\) by 2: \(4x + 14y=-2\)

Step2: Subtract second equation from new equation

Subtract \(4x - 3y=-19\) from \(4x + 14y=-2\): \((4x + 14y)-(4x - 3y)=-2-(-19)\)
Simplify: \(17y = 17\)

Step3: Solve for y

Divide both sides by 17: \(y = 1\)

Step4: Substitute y into first equation

Substitute \(y = 1\) into \(2x + 7y=-1\): \(2x+7(1)=-1\)
Simplify: \(2x+7=-1\)
Subtract 7: \(2x=-8\)
Divide by 2: \(x=-4\)

Answer:

\((-4,1)\)