Question

7x + 2y = 11

4x - 7y = -10 solve the system using an equivalent system (if you can pls put step by step !!!)

Answer 1

x = 1, y = 2

Explanation:

7x + 2y = 11 -----Equation 1

Equation 1 × 7:

49x + 14y = 77 -----Equation 2

-------------------------------------------------------------------------------------------------------------

4x - 7y = -10 -----Equation 3

Equation 3 × 2:

8x - 14y = -20 -----Equation 4

-------------------------------------------------------------------------------------------------------------

Equations 3 + 4:

49x + 14y + 8x - 14y = 77-20

49x + 8x = 77-20

57x = 57

x = 57 ÷ 57

x = 1

Substitute x = 1 into Equation 1.

7x + 2y = 11

7(1) + 2y = 11

7 + 2y = 11

2y = 11-7

2y = 4

y = 4 ÷ 2

y = 2