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