Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14
2 answers:
You might be interested in
Answer:
First equation: y = -2x
Second equation: y = 3 - x
Solution: (1, -2)
Step-by-step explanation:
Assuming the ordered pairs of the tables are:
<u>Table 1</u>
(-5, 10) (-1, 2) (0, 0) (11, -22)
<u>Table 2</u>
(-8, -11) (-2, -5) (1, -2) (7, 4)
To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.
<u>Equation 1</u>
<u>Equation 2</u>
Solution to the System
Equate the equations and solve for x:
-2x = x - 3
⇒ 0 = 3x - 3
⇒ 3x = 3
⇒ x = 1
Substitute found value of x into one of the equations and solve for y:
y = 1 - 3 = -2
Therefore, the solution is (1, -2)