These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match.
Hope this helps!
Answer:
y = -18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 5x - 3
3x - 2y = 27
<u>Step 2: Rewrite systems</u>
- Define: 3x - 2y = 27
- Add 2y on both sides: 3x = 2y + 27
- Divide 3 on both sides: x = 2/3y + 9
<u>Step 3: Redefine</u>
y = 5x - 3
x = 2/3y + 9
<u>Step 4: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: y = 5(2/3y + 9) - 3
- Distribute 5: y = 10/3y + 45 - 3
- Combine like terms: y = 10/3y + 42
- Subtract 10/3y on both sides: -7/3y = 42
- Divide -7/3 on both sides: y = -18
To write the equation of the line, we will use the point-slope formula.
To do this, we need a point and a slope.
We can find out slope by using the slope formula.
m = y₂ - y₁ / x₂ - x₁
So we have 5 - 9 / 3 - 1 or -4/2 which is -2.
Now let's use the point-slope formula.
y - y₁ = m(x - x₁)
Now substitute one of our points (x₁, y₁) into our formula.
So we have y - 5 = -2(x - 3).
Distributing the -2 gives us y - 5 = -2x + 6.
Moving the -5 to the right, we have y = -2x + 11.
So y = -2x + 11 is our equation.
Answer:
to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees
