8x+2y=7,2x+8y=13 solve
Answers
8x + 2y = 7
solution :- 8x + 2y = 7
Solving
8x + 2y = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
8x + 2y + -2y = 7 + -2y
Combine like terms: 2y + -2y = 0
8x + 0 = 7 + -2y
8x = 7 + -2y
Divide each side by '8'.
x = 0.875 + -0.25y
Simplifying
x = 0.875 + -0.25y
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2x + 8y = 13
solution :- 2X + 8Y = 13
Solving
2X + 8Y = 13
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-8Y' to each side of the equation.
2X + 8Y + -8Y = 13 + -8Y
Combine like terms: 8Y + -8Y = 0
2X + 0 = 13 + -8Y
2X = 13 + -8Y
Divide each side by '2'.
X = 6.5 + -4Y
Simplifying
X = 6.5 + -4Y
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Given equations,
8x+2y=7(eq-1),2x+8y=13(eq-2)
multiply 4 with eq-2
(eq-1)-(eq2)
8x+2y=7
8x+32y=52
=-30y=-45
y=45/30
y=3/2
substitute y value in (eq-2)
2x+8×3/2=13
2x+12=13
2x=13-12
x=1/2