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Triss [41]
3 years ago
15

Find the solution to the following: *

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

First one: x = all real numbers

Second one: x = 0

Step-by-step explanation:

for the first one

given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations

step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )

2 * 4x = 8x

5 * 2 = 10

now we have 8x + 10 = 8x + 10

step 2 subtract 8x from each side

8x - 8x = 0

8x - 8x = 0

now we have 10 = 10

subtract 10 from each side

10 - 10 = 0

10 - 10 = 0

we're left with 0 = 0 meaning that all real numbers are solutions

For the second one

given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations

step 1 distribute the 2 to what is in the parenthesis (x - 4)

2 *x = 2x

2 * -4 = -8

now we have 3x - 8 = 2x - 8

step 2 add 8 to each side

-8 + 8 = 0

-8 + 8 = 0

now we have 2x = 3x

step 3 subtract 2x from each side

3x - 2x = x

2x - 2x = 0

we're left with x = 0

You might be interested in
X+y=0.5<br> x-y=1<br> elimination meathod
user100 [1]

Answer:

x=0.75, y=-0.25

Step-by-step explanation:

We can add the two equations to eliminate y and solve for x.

x+y+x-y=0.5+1

2x=1.5

x=0.75

Now, we can find for y by using substitution:

x+y=0.5 (given)

0.75+y=0.5

y=-0.25

Hope this helps :)

8 0
3 years ago
Solve the following system of equations.
Elan Coil [88]

Answer:

(2,-3)

Step-by-step explanation:

I am not sure if you meant the first equation to be y or -y.  I solved it as y.

y = x-5                       -x -3y =7

I am going to take the second equation and write it as x =

-x - 3y = 7  Give equation

-x = 3y +7   Add 3y to both sides

x = -3y-7  Multiplied each term in the equation by -1 so that x could be positive

I am going to substitute -3y-7 for x in the first equation up above

y = x - 5

y = -3y -7 - 5  Substitute -3y-7 for x

y = -3y -12  Combined -7-5

4y = -12  Added 3y to both sides

y = -3  Divided both sides by 4.

I now know that y is -3, I will plug that into x = -3y-7 to solve for x

x = -3(-3) -7

x = 9-7   A negative times a negative is a positive

x = 2

5 0
1 year ago
Wesley jogs 10 miles each weeks. Then he jogs 20 miles each week for 3 weeks how many miles does Wesley jog in 5 week?
Kruka [31]
I think he would jog 80 miles in 5 weeks
20+20+20+10+10=80
6 0
3 years ago
Find the value of x in the triangle shown below
Sonbull [250]

Answer:

nice

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Help me please <br> !!!!!!!!!!!!!!!
Crank
16 units just count the tiny lines in the middle by 2
3 0
3 years ago
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