Question

Solve by Elimination:
4x - 3y = 10
3x + 5y = -7

Answer 1

x=1 and y= -2

Explanation:

4x-3y=10------------------------->eqn1

3x+5y=-7------------------------->eqn2

to eliminate, (eqn1 X 3) and (eqn2 X -4)

12x-9y=30------------------>eqn3

-12x-20y=28--------------->eqn4

eliminate the variable x (12x-12x)

Now,

-9y-20y=30+28

-29y=58

y=58/-29

= -2

from eqn1,

4x-(-2 X 3)= 10

4x+6= 10

4x=10-6

=4

x=4/4

=1