Question

Solve this system of equations for x using the addition method. (Must show steps of addition method to get credit. Do not solve using the substitution method. )

Answer 1

hi

here is the answer

i hope it helps

good luck:))

Answer 2

The solution to the system of equations for x using the addition method is x = 10 and y = -2.

To solve the system of equations for x using the addition method, multiply one or both equations so that the coefficients of x are the least common multiple of the coefficients with opposite signs. Then, add the equations together and solve for y. Finally, substitute the value of y into one of the original equations to solve for x.

Choose a variable to eliminate. In this case, it is easiest to eliminate y.

Multiply one or both equations so that the coefficients of the variable you are eliminating are the least common multiple of the coefficients with opposite signs. In this case, we need to multiply the first equation by 11 and the second equation by 5.

(2x + 5y) * 11 = (10) * 11

(3x - 11y) * 5 = (52) * 5

22x + 55y = 110

15x - 55y = 260

Add the equations together.

37x = 370

Divide both sides by the coefficient of x to solve for x.

x = 10

Substitute the value of x into one of the original equations to solve for y.

2x + 5y = 10

2(10) + 5y = 10

20 + 5y = 10

5y = -10

y = -2

Therefore, the solution to the system of equations is x = 10 and y = -2.