C hope this helps you out
Answer:
y = -2x + 5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define given</u>
y-intercept <em>b</em> = 5
Slope <em>m</em> = -2
<u>Step 2: Write function</u>
y = -2x + 5
Let's pick a variable to solve for. In this case, a good pick would be y. The reason behind this is we can cancel out the x's easily.
2x + 7y = -1
4x - 3y = -19
Multiple the entire equal by 2. In order to keep the top equation true, we must multiple the entire equation.
2(2x + 7y) = -1(2) => 4x + 14y = -2
Now subtract.
4x + 14y = -2
4x - 3y = -19
0x + 17y = 17
0x is basically 0.
17y = 17
Simply divide each side by 17.
17y / 17 = 17 / 17
y = 1
Now substitute it back into one of equations to solve for x. I'll pick 2x + 7y = -1
2x + 7(1) = -1 ; Start
2x + 7 = -1 ; Multiply 1 by 7
2x = -1 - 7 ; Subtract each side by 7
2x = -8 ; -1 - 7 is equal to -8
x = -4 ; Divide both sides by 2
Answer:6 units^2
Cut the shape in two to make a square and triangle.
Square:(2)(2)=4
Triangle:(1/2)(2)(2)=2
add both together 4+2=6
Answer:
(-2,3)
Step-by-step explanation:
Multiply -3x+4y=18 with 2:
-6x+8y=36
Add -6x+8x=36 and 6x+2y=-6
10y=30
y=3
So y=3 we can replace y with 3 on any of these two equations:
6x+6=-6
Move the 6 to the other side:
6x=-12
x=-2
So the solution is
(-2,3)
Hope this helps
