If x 1 2 16 8y then x

Asked by maham237 @ in Mathematics viewed by 309 People

-2x = 16–8y
x+4y= 25
Solve by substitution

Answered by maham237 @


Answer:

(\frac{17}{2}, \frac{33}{8}

Step-by-step explanation:

Given the 2 equations

- 2x = 16 - 8y → (1)

x + 4y = 25 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = 25 - 4y → (3)

Substitute x = 25 - 4y into (1)

- 2 (25 - 4y) = 16 - 8y ← distribute left side

- 50 + 8y = 16 - 8y ( add 8y to both sides )

- 50 + 16y = 16 ( add 50 to both sides )

16y = 66 ( divide both sides by 16 )

y = \frac{66}{16} = \frac{33}{8}

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × \frac{33}{8} )

= \frac{50}{2} - \frac{33}{2} = \frac{17}{2}

Solution is ( \frac{17}{2}, \frac{33}{8} )


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