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4 years ago

2x+3y=15 x+y=6 work out the values of x and y

Mathematics

2 answers:

Anna [14]4 years ago

6 0

Answer:

x=3

y=3

Step-by-step explanation:

x = 6-y

-plug in (6-y) into first equation

2(6-y)+3y = 15

12-2y+3y=15

-2y+3y = 3

y=3

x=6-3

x=3

double check:

(2*3) + (3*3) = 6 + 9 = 15

3 + 3 = 6

Sonja [21]4 years ago

4 0

Answer:

x = 3

y = 3

Step-by-step explanation:

2x + 3y = 15

x + y = 6

2x + 3y = 15

x(-3) + y(-3) = 6(-3)

2x + 3y = 15

-3x - 3y = -18

Add:

2x + 3y = 15

-3x - 3y = -18

- x = -3

x = 3

Substitute x to any of the equation:

x + y = 6

3 + y = 6

y = 6 - 3

y = 3

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Pavel [41]

Answer:

Option (4)

Step-by-step explanation:

Slope a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Since, blue line is passing through two points (-4, -2) and (0, 4),

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Similarly, green line is passing through two points (-4, 1) and (0, -2),

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