Answer:
y= -5/2x -1
Step-by-step explanation:
M + b = 67
b = 4m - 8
m + 4m - 8 = 67
5m - 8 = 67
5m = 67 + 8
5m = 75
m = 75/5
m = 15 <=== Maggie's age
b = 4m - 8
b = 4(15) - 8
b = 60 - 8
b = 52.....her brother is 52
<h3>5x - y = 27 and 2x + y = 8 are the system of equations with a solution of (5,-2)
</h3>
<em><u>Solution:</u></em>
Given that,
create a system of equations with a solution of (5,-2)
<em><u>The equation for a line in slope intercept form:</u></em>
y = mx + b
Where, m is the slope and b is the y intercept
For (x, y) = (5, -2)
-2 = 5m + b
<em><u>When m = 5</u></em>
-2 = 5(5) + b
-2 = 25 + b
b = -2 - 25
b = -27
<em><u>When m = -2</u></em>
-2 = 5(-2) + b
-2 = -10 + b
b = 8
<em><u>Thus equations are:</u></em>
y = 5x - 27
y = -2x + 8
<em><u>Rearranging to standard form,</u></em>
5x - y = 27 --- eqn 1
2x + y = 8 ---- eqn 2
Thus the system of equations are found
<h3><u>Verify:</u></h3>
Solve eqn 1 and eqn 2
Add both eqn 1 and eqn 2
7x = 35
<h3>x = 5</h3>
Substitute x = 5 in eqn 2
2(5) + y = 8
y = 8 - 10
<h3>y = -2</h3>
Thus solution is (5, -2) and the found system of equations are correct
The correct answer is 7x-8
