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Marina86 [1]
3 years ago
9

Hi how do I solve this simultaneous equation

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

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5 0
3 years ago
The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

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Slope (m) = \frac{5}{4}

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$\frac{5}{4}=\frac{r-1}{-7-(-15)}

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Do cross multiplication.

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Divide by 4 on both side of the equation.

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6 0
3 years ago
Write<br> 9,639<br> as a decimal number.<br> 10,000
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals.
fomenos

Answer:

The equation that shows the profit: P = 2x + 3y

Step-by-step explanation:

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P = 10x +17y – 8x – 14y

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6 0
3 years ago
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