Question

solve the simultaneous equations
2x - y = 1
2x + 2y = 10​

Answer 1

Step-by-step explanation:

2x - y = 1 )-------(1)

2x + 2y = 10 )---------(2)

from equation (2)

• 2x +2y = 10
• 2(x+y) = 10
• x+ y = 5
• x = 5-y )--------(3)

putting equation (3) in (1)

• 2x - y = 1
• 2(5 - y) - y = 1
• 10 - 2y -y = 1
• 10 -3y = 1
• -3y = 1-9
• -3y = -8
• $y = \frac{8}{3}$

putting value of y in question (3)

• $x = 5 - \frac{8}{3}$
• $x = \frac{15 - 8}{3}$
• $x = \frac{7}{3}$