Answer:
x = 3/2
y = 5/2
Step-by-step explanation:
x + y = 4
x = y - 1
substitute y - 1 in for x in the first equation, to find y
y - 1 + y = 4
2y - 1 = 4
add 1 on both sides
2y - 1 = 4
+1 +1
2y = 5
divide by 2 on both sides
2y/2 = 5/2
y = 5/2
subtitute y in for the second equation, to find x
x = 5/2 - 1
x = 5/2 - 2/2
x = 3/2
so x = 3/2 and y = 5/2
to double check, plug x and y in the first equation
3/2 + 5/2 = 4
8/2 = 4
4 = 4
When you are substituting equations, all you are doing is plugging in variables. Lets do an example..something random but easy...
y = 2x - 3
4x + 2y = 10
So since 2x + 3 equals y we are going to plug in those numbers into the second equation.
4x + 2(2x - 3) = 10
Now we distribute
4x + 4x - 6 = 10
Combine like terms.
8x - 6 = 10
Add 6 to both sides.
8x = 16
Divide.
x = 2
And thats how you substitute equations.
I hope this helps love! :)
Answer:
K 48 inches
Step-by-step explanation:
First lets determine how big of table cloth we need
The table is 3 ft in diameter which is 36 inches
That means the radius is d/2 = 36/2 = 18 inches
We need to add 5 inches to the radius to hang over the edge
18+5 = 23
We need to add the hem which is 1 inch
23+1 = 24
The radius is 24 inches
The diameter would be 2r = 2*24 = 48 inches
Answer:
x=-3, and y=2
Step-by-step explanation:
Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:
x+5=-2x-4
3x+5=-4
3x=-9
x=-3
Plugging in x=-3 into one of the original equations:
y = x + 5
y = -3 + 5
y = 2
Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.
