let L be <span>Lissette's age
and F </span><span>Francesca age
2 F - 3 = 13
2F= 16
F = 16/2 =8
</span>
Answer:
X = 4 & Y = 3
Step-by-step explanation:
1. Multiply the first equation by -2 & Multiply the second equation by 1
-2 (2x+3y=17)
1 (3x+6y=30)
Becomes:
−4x−6y=−34
3x+6y=30
Add these equations to eliminate y:
−x=−4
2. Then solve −x= −4 for x:
−x=−4
-x/−1 = −4/−1
(Divide both sides by -1)
x=4
Now that we've found x, plug it back in to solve for y.
Write down an original equation:
2x+3y=17
Substitute (4) for (x) in 2x+3y=17:
(2)(4)+3y=17
3y+8=17(Simplify both sides of the equation)
3y+8+−8=17+−8(Add -8 to both sides)
3y=9
3y/3 = 9/3
(Divide both sides by 3)
y=3
Answer:
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
![y = -7](https://tex.z-dn.net/?f=y%20%3D%20-7)
Step-by-step explanation:
We have the system of equations:
![4x+2y=10\\x=y+13](https://tex.z-dn.net/?f=4x%2B2y%3D10%5C%5Cx%3Dy%2B13)
Let's solve by substituting. We know that
, so we can substitute
in as
in the equation
.
![4(y+13) + 2y = 10](https://tex.z-dn.net/?f=4%28y%2B13%29%20%2B%202y%20%3D%2010)
Simplify this down so that we have
on one side of the equation:
![4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7](https://tex.z-dn.net/?f=4y%20%2B%2052%20%2B%202y%20%3D%2010%5C%5C%5C%5C6y%20%2B%2052%20%3D%2010%5C%5C%5C%5C6y%20%3D%20-42%5C%5C%5C%5Cy%20%3D%20-7)
Now that we know the value of
, we can substitute it in to the equation
to find
.
![x = -7+13\\\\x = 6](https://tex.z-dn.net/?f=x%20%3D%20-7%2B13%5C%5C%5C%5Cx%20%3D%206)
Hope this helped!
The answer is: D
You have 3c (3 times her cousins age) -4 (4 less than)
Answer:
x = 24
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.
![\frac{56}{44.8}=\frac{35}{x+4}](https://tex.z-dn.net/?f=%5Cfrac%7B56%7D%7B44.8%7D%3D%5Cfrac%7B35%7D%7Bx%2B4%7D)
Cross multiply to solve for x.
56(x+4) = 44.8(35)
56x + 224 = 1,568
56x = 1,344
x= 24