Answer:
([tex]\frac{1}{2}[/tex], 3)
Step-by-step explanation:
Given the 2 equations
2x + 5y = 16 → (1)
10x - 3y = - 4 → (2)
Multiplying (1) by - 5 and adding to (2) will eliminate the term in x
- 10x - 25y = - 80 → (3)
Add (2) and (3) term by term
(10x - 10x) + (- 3y - 25y) = (- 4- 80) ← simplify
- 28y = - 84 ( divide both sides by - 28 )
y = 3
Substitute y = 3 into (1) or (2) for corresponding value of x
(1) : 2x + 15 = 16 ( subtract 15 from both sides )
2x = 1 ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex]
Solution is ([tex]\frac{1}{2}[/tex], 3 )
Answer:
Step-by-step explanation:
2x+5y=16 ......(1)
10x-3y=-4.......(2)
multiply (1) by -5
-10x-25y=-80 ......(1)
10x-3y=-4.......(2)
add (1) and (2)
-28y = -84
y = 3 put this value in (2) : 10x -9 = - 4
10x = 5
x = 1/2
