A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.
example :
2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)
we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4
now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.
2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2
now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.
y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2
so ur solution is : (1/2,5/2) <===
and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them
Answer:
x = 7
Step-by-step explanation:
Expand 3x+2(x-5)=25 which looks like
3x+2x-10=25
Add similar elements: ( 3x+2x = 5x)
5x-10=25
Add 10 to both sides
5x-10+10 = 25 + 10
Simplfy
5x = 35
Divide both sides by 5
5x ÷ 5 = 35 ÷ 5
Simplfy:
x = 7
have a wonderful day
Answer:
2nd
Step-by-step explanation:
the 1st one and the 3 one dosent give you any answers or clues and the answer wrong :)
Absolute value makes whatever is inside positive (It actually tells how many units it is from zero and that value is positive)
so
|-22|=22
If you mean how to reduce 6/4 then all you have to do is divide 6 by 4 to get a mixed number rather then an improper fraction. Then you reduce the fraction further until its impossible
6/4 = 1 2/4 = 1 1/2
Answer: 1 1/2
