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arsen [322]
3 years ago
12

Select the correct answer.

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

(-1\frac{1}{3}, 4\frac{3}{5})

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = m = \frac{rise}{run} = \frac{2}{1} = 2

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = m = \frac{rise}{run} = -\frac{3}{1} = -3

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

x = \frac{6}{-5} = -1\frac{1}{5}

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

y = -3\frac{-6}{5} + 1

y = \frac{18}{5} + 1

y = \frac{18 + 5}{5}

y = \frac{23}{5}

y = 4\frac{3}{5}

✅The exact solution would be: (-1\frac{1}{3}, 4\frac{3}{5})

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