Answer:
x = 23/5 and y = 7/20
Step-by-step explanation:
2x + 8y = 12 and 3x - 8y = 11 are two given equations
Now,
<u>Step </u><u>1</u><u>:</u>
2x + 8y = 12 ...(1)
3x - 8y = 11 ...(2)
<u>Step </u><u>2</u><u>:</u>
From equation (2) we get the value of x
i.e.,
3x - 8y = 11
3x = 8y + 11
<em><u>x = 8y + 11/3</u></em>
<u>Step </u><u>3</u><u>:</u>
Now,
Put the value of <u>x = 8y + 11/3</u><u> </u>in equation (1) we get,
i.e.,
2x + 8y = 12
2(8y + 11/3) + 8y = 12
16y + 22/3 + 8y = 12
16y + 22 + 8y(3)/3 = 12
16y + 22 + 24y/3 = 12
16y + 24y + 22 = 12 * 3
40y = 36 - 22
40y = 14
y = 14/40
<em><u>y = 7/20</u></em>
<u>Step </u><u>4</u><u>:</u>
Now,
Substitute the value of <u>y = 7/20</u><u> </u>in equation (2) we get,
i.e.,
3x - 8y = 11
3x - 8(7/20) = 11
3x - 56/20 = 11
3x - 14/5 = 11
3x = 11 + 14/5
3x = 11 * 5 + 14/5
3x = 55 + 14/5
3x = 69/5
x = 69/3 * 5
<em><u>x = 23/5</u></em>
For this case we have the following equation:
We want to solve the equation for the letter c.
To do this, we apply the distributive property:
Then, applying addition property of equality we have:
Then applying division property of equality we have:
Answer:
The value of c is:
-8-45s
.....................................................
140000 + 12000 = 152000
hope this helps
Distribute the negative to the 16 and into the -5
-16+5x
