Answer:
t=2
j=1
Step-by-step explanation:
3 tacos and a juice is $7
3t+j=7
4 tacos and 2 juices is $10
4t+2j=10
We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used
3t+j=7 Equation 1
4t+2j=10 Equation 2
To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.
2(3t+j=7)
6t+2j=14 Equation 3
We now have
4t+2j=10 Equation 2
6t+2j=14 Equation 3
We subtract equation 2 from equation 3, to eliminate j
6t-4t=2t
2j-2j=0
14-10=4
We have 2t=4
Divide both sides by 2
2t/2=4/2
t=4/2
t=2
Substitute t for 2 in equation 1, to get j
3t+j=7
3(2)+j=7
6+j=7
j=7-6
j=1
One taco cost $2 while 1 juice cost $2
Answer:
Explain more
Step-by-step explanation:
Answer:
y=63 y=-12
Step-by-step explanation:
the equation was y=53+10 and y=2-14 right?
Answer:
Length is 10
Width is 8
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
![P=2l+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w)
We are told that the length l is 2 more than twice the width w. In other words:
![l=2+2w](https://tex.z-dn.net/?f=l%3D2%2B2w)
Also, we are given that the perimeter is 28. Therefore:
![P=2l+2w\\28=2(2+2w)+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w%5C%5C28%3D2%282%2B2w%29%2B2w)
Distribute:
![28=4+4w+2w](https://tex.z-dn.net/?f=28%3D4%2B4w%2B2w)
Combine like terms:
![28=4+6w](https://tex.z-dn.net/?f=28%3D4%2B6w)
Subtract 4 from both sides:
![6w=24](https://tex.z-dn.net/?f=6w%3D24)
Divide by 6:
![w=4](https://tex.z-dn.net/?f=w%3D4)
So, the width is 4.
And the length is 2 more than twice the width. Thus:
![l=2+2(4)\\l=2+8=10](https://tex.z-dn.net/?f=l%3D2%2B2%284%29%5C%5Cl%3D2%2B8%3D10)
The length is 10.
And we are done :)
Answer:
sorry i need this for a challenge.
Step-by-step explanation: