<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
Answer:
y + 4 = -3(x + 1)
Step-by-step explanation:
point-slope form : y - y2 = m (x - x2)
In this case m = -3 and x2 = -1, y2 = -4
So
The equation in point-slope form
y + 4 = -3(x + 1)
63% decrease.
0.63•80=50.4kg
80kg-50.4kg=29.6kg
First ("first" terms of each binomial are multiplied together)
Outer ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second)
Inner ("inside" terms are multiplied—second term of the first binomial and first term of the second)
Last ("last" terms of each binomial are multiplied)
The answer could be 2.64e+20
