The solution is x = 2 and y = 4
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y = 2x -------- eqn 1
x = -y + 6 ----------- eqn 2
We can solve the system of equations by substitution method
<em><u>Substitute eqn 1 in eqn 2</u></em>
x = -2x + 6
Move the variables to one side and constants to other side
x + 2x = 6
3x = 6
Divide both sides of equation by 3
x = 2
<em><u>Substitute x = 2 in eqn 1</u></em>
y = 2(2)
y = 4
Thus the solution is x = 2 and y = 4
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
3x - 4y = 12
3(8) - 4y = 12
24 - 4y = 12
- 4y + 24 = 12
- 4y + 24 - 24 = 12 - 24
- 4y = - 12
- 4y ÷ - 4 = - 12 ÷ - 4
y = 3
<em><u>Slope</u></em><em><u>:</u></em> 
<em><u>y - intercept</u></em><em><u>:</u></em> (0, - 3)