Difference of 2 perfect squares
remember
so
<span><span>4x - y = -4</span>
<span><span>-y = -4 - 4x (subtract 4x from each side)
y = 4 + 4x (divide by -1)
y = 4x + 4 (commutative property of addition to get the x-value in front).
Now we must plug what we have gotten y to equal into the other equation. If we try to plug what we have rearranged back into the original equation, we don't get anywhere.
2x - y = -7
2x - 1(4x + 4) = -7 (substitution)
2x - 4x - 4 = -7 (distributive property with -1)
-2x - 4 = -7 (combine like terms)
-2x = -3 (add 4 to each side)
x = 3/2 (divide by -2).
You</span></span><span>2x-y=7
Y=2x+3</span><span> have just solved for x! We can now plug what we have found for x into either equation to get what y equals. (If this is truly a system of linear equations, then it will not matter which one we use.)
2(3/2) - y = -7 (substitution)
6/2 - y = -7 (multiplication)
3 - y = -7 (division)
- y = -10 (subtraction)
y = 10 (division)
You have just found y! As a point, the solution to this system is (3/2, 10) with the x-coordinate first and the y-coordinate second. If we plug x and y into both equations, we will find that they will make the equations true. This is how we check ourselves. Using both equations:
4x - y = -4
4(3/2) - 10 = -4 (does the left half equal -4?)
12/2 - 10 = -4
6 - 10 = -4
-4 = -4 (it does);
2x - y = -7
2(3/2) - 10 = -7
3 - 10 = -7
-7 = -7. </span></span>
Answer:
Oh Hi There!
Here’s ur answer!
These are the following steps to solve by substitution :-
1] Step One→ Solve one equation for either x or y.
2] Step Two→ Substitute the expression from step one into the 2nd equation.
3] Step Three→ Solve the second equation for the given variable.
4] Step Four→ Plug you solution back into the first equation.
5] Step Five→ Write your solution as a point.
Step-by-step explanation:
Hope it helps you :)
Keep Learning :)
Have a good day ahead :)
Answer:
x = 0, x = - 3
Step-by-step explanation:
Given
5x² - 7x = 4x² - 10 ← subtract 4x² - 10x from both sides
x² + 3x = 0 ← in standard form
Factor out x from each term
x(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
Answer:
A(w) = - + 100w
Step-by-step explanation:
First, we need to find down the length (l) of the rectangular area in term of w
We have 200 feet of fencing is the perimeter of the rectangular area, which mean:
2 (w + l) = 200
<=> l = 100-w
But the area of land: w*l
= w (100-w)
=- + 100w
So, A(w) = - + 100w