Question

Using the substitution method, solve the simultaneous equations
3x + 2y = 7
2x +3y = 4​

Answer 1

Step-by-step explanation:

3x+2y=7 ----- (1)

4x−3y=−2----- (2)

Multiply equation (1) by 3 and equation (2) by 2, then add

9x+6y=21

8x−6y=−4

______________

17x=17

x=

17

17

=1

Put the value of x in equation (1), we get

3x+2y=7

3(1)+2y=7

2y=7−3

2y=4

y=

2

4

=2

Therefore the solution is (1, 2)