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:
7 hours
Step-by-step explanation:
You would divide 289 by 17. You get 17. Then you would divide 119 by 17 and you get 7
Answer:
the answer is 114
Step-by-step explanation:
180 - 66
Answer:
L = B + 3 ..................(1)
L × B = 270 m² .................(2)
on solving we get
L = 18 m, B = 15 m
Step-by-step explanation:
Let the length of the rectangle be L
and,
Width of the rectangle be 'B'
thus,
according to the question
L = B + 3 ..................(1)
And, area of the rectangle = 270 m²
also,
Area of the rectangle = L × B = 270 m² ...........(2)
on substituting 'L' from equation 1 in equation 2, we get
( B + 3 ) × B = 270
or
B² + 3B - 270 = 0
or
B² + 18B - 15B - 270 = 0
or
B( B + 18 ) - 15(B + 18) = 0
or
( B - 15 ) × ( B + 18 ) = 0
thus, we get
B = 15 m (accepted ) and B = -18 m (neglected : since the length cannot be negative)
therefore,
From 1, we get
L = 15 + 3 = 18 m
