Step-by-step explanation:
2x + 2y = 3 ( x2 for everything in the equation)
x - 4y = -1
4x+ 4y = 6
x - 4y = -1
Add the 1st line to the 2nd line to get rid of the y:
5x = 5
x - 4y = -1 ( you can pick any line from this system to be the second equation in this step, you can put 2x + 2y = 3 or 4x+ 4y = 6, anything above this step, but to make it simple chose the one you think is the easiest)
Solve for x, then plug the x value into the 2nd equation
x = 1
1 - 4y = -1
x = 1
-4y = -2 =) y = 1/2
x = 1
y= 1/2
Answer: 4
Step-by-step explanation:
Length * Width = Area
Width = Area / Length
W = 42 / 16.8
W = 2.5 inches
Answer:
There are 78 female members of the House of Representatives and 14 female members of the Senate.
Step-by-step explanation:
Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.
Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92
Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.
Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.
