Answer:
x = -9, y = 8
or,
(-9, 8)
Explanation:
Equation 1: 2x + 3y = 6
Equation 2: 4x - y = -44
To solve by substitution, make y subject for equation 2.
4x - y = -44
-y = -44 - 4x
y = 4x + 44
Substitute this y value into equation 1.
2x + 3(4x + 44) = 6
2x + 12x + 132 = 6
14x = 6 - 132
14x = -126
x = -9
Now, find y value:
y = 4x + 44
y = 4(-9) + 44
y = 8
To check for solution, insert x and y value in either equations.
2x + 3y = 6
insert values
2(-9) + 3(8) = 6
6 = 6
Hence, the solution is correct as both sides equal.
Answer:
Step-by-step explanation:
I don't know how to explain this but here you go.
It’s an answer for your question
Okay, so we start at '$82'
$82
let's add $100
$82+$100=$182
lets add another 100
$82+$100+$100=$282
lets add another $100
$82+$100+$100+$100=382
lets add another $100
$82+$100+$100+$100+$100=$482
Now we can't add another $100, since that will take us to $582, and we need to get to $512, so lets add $20....
$82+$100+$100+$100+$100+$20=$502
Okay, we're getting really close! Let's add $10.
$82+$100+$100+$100+$100+$20+$10=$512
(If you were to show your work on a number line, you would simply keep moving up by $100 until you couldn't anymore, and then move up by $20, and finally by $10, until we get to $512)
__________________________________________
a simpler way to solve this...
Okay, so we start at '$82'
$82
let's add $400
$82+$400=$482
now lets add $30
$82+$400+$30=$512
**Hope this helps....