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Which set of ordered pairs represents a function?

Mathematics

1 answer:

ella [17]2 years ago

4 0

Answer: C and D

Step-by-step explanation:

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Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Anastaziya [24]

The right question is:

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Answer:

$x = 6$

$y = -2$

Step-by-step explanation:

Given

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Required

Solve for x and y

Make y the subject of formula in the second equation

$y = 28 - 5x$

Substitute $y = 28 - 5x$ in the first equation

$\frac{1}{2}x - 3(28 - 5x) = 9$

Open the bracket

$\frac{1}{2}x - 3*28 - 3*- 5x = 9$

$\frac{1}{2}x - 84 + 15x = 9$

Collect Like Terms

$\frac{1}{2}x + 15x = 9+ 84$

$\frac{x}{2} + 15x = 9+ 84$

$\frac{x+30x}{2} = 93$

$\frac{31x}{2} = 93$

Multiply both sides by 2

$2 * \frac{31x}{2} = 93 * 2$

$31x = 186$

Divide both sides by 31

$\frac{31x}{31} = \frac{186}{31}$

$x = \frac{186}{31}$

$x = 6$

Recall that $y = 28 - 5x$

So;

$y = 28 - 5 * 6$

$y = 28 - 30$

$y = -2$

Hence;

$x = 6$ and $y = -2$

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