Answer:
x = 1 1/4
Step-by-step explanation:
sqrt( 7x+2) = sqrt(3x+7)
Square each side
(sqrt( 7x+2))^2 = (sqrt(3x+7))^2
7x+2 = 3x+7
Subtract 3x from each side
7x-3x +2 = 3x+7-3x
4x+2 = 7
Subtract 2 from each side
4x+2-2 = 7-2
4x = 5
Divide by 4
4x/4 = 5/4
x = 1 1/4
Check for extraneous solution
sqrt( 7*5/4+2) = sqrt(3*5/4+7)
sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)
sqrt( 43/4) = sqrt(43/4)
Solution is valid
Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
I am joyous to assist you anytime.
Answer:
The fact that the expressions are equivalent means that for any value of the variables, the two expressions have the same solution.
Step-by-step explanation:
Answer: Salid should get $38.75 of change.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Quantity of window trim bought: 35 feet
</em>
- <em>Cost per feet: $1.75
</em>
- <em>Amount paid: $100
</em>
First, we have to calculate the total cost, by multiplying the Quantity of window trim bought (35) by the price per feet (1.75)
35 x 1.75 = $61.75
Finally, to calculate the change that Salid should get, we have to subtract the total cost (61.75) to the amount paid (100)
100-61.75=$38.75
Answer:
y = 2, x = 16
Step-by-step explanation:
x = 10 + 3y
xy = 32
Solve.
y = 2.
x = 16
