A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-3x+4y=52],[7x-4y=-84]:} Subtract to eliminate y. Subtract to eliminate x. Add to eliminate x. Add to eliminate y.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[-3x+4y=52],[7x-4y=-84]:} Subtract to eliminate  y. Subtract to eliminate  x. Add to eliminate  x. Add to eliminate  y.

Bytelearn · Accepted Answer

Given Equations: We are given the system of equations: -3x + 4y = 52 7x - 4y = -84 To eliminate a variable, we look for coefficients that are opposites or can be made into opposites. Here, the coefficients of y are 4 and -4, which are already opposites.Eliminate Variable: Since the coefficients of y are opposites, we can add the two equations together to eliminate y. The addition will result in the y terms canceling each other out. (-3x + 4y) + (7x - 4y) = 52 + (-84)Add Equations: Performing the addition, we get: -3x + 7x + 4y - 4y = 52 - 84Perform Addition: Simplifying the equation, we get: 4x = -32Simplify Equation: We have successfully eliminated the variable y by adding the two equations. The next steps would involve solving for x, but since the question only asks for the correct first step to eliminate a variable, we have our answer.

Full solution

More problems from Solve one-step multiplication and division equations: word problems

Related topics