Answer :

Answer:

x = 1.5 , y = - 2.5

Step-by-step explanation:

given the simultaneous equations

7x + 3y = 3 → (1)

3x - y = 7 → (2)

multiplying (2) by 3 and adding the result to (1) will eliminate y

9x - 3y = 21 → (3)

add (1) and (3) term by term to eliminate y

(7x + 9x ) + (3y - 3y ) = 3 + 21

16x + 0 = 24

16x = 24 ( divide both sides by 16 )

x = [tex]\frac{24}{16}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

substitute x = 1.5 into either of the 2 original equations and solve for y

substituting into (1)

7(1.5) + 3y = 3

10.5 + 3y = 3 ( subtract 10.5 from both sides )

3y = - 7.5 ( divide both sides by 3 )

y = - 2.5

The solution is x = 1.5 , y = - 2.5