It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
Answer:
x = 34/21
Step-by-step explanation:
- 3 = 7/2 (3x-4)
- 3 = (21/2)x - 28/2
- 3 = (21/2)x - 14
- (21/2)x = 17
- 21x = 34
- x = 34/21
Answer: Currently 8 action films are being shown
Step-by-step explanation:
Step 1
Ratio of action film to other films = 1:2
which means 1 action movie would be shown for every 2 other films
Total ratio = 1+2 = 3
Step 2
Number of action films shown = ratio of action film/ total ratio x 24 screens
= 1/3 x 24 = 8
Number of other films shown = ratio of other films/ total ratio x 24 screens
= 2/3 x 24 = 16
Currently 8 action films and 16 other films are being shown
The answer is -1.6 because 5 x -1.6 is -8 and -8 + 8 is 0
The general rule for a linear equation is y=mx+c where m is the slope or gradient... therefore the slope is 3.
Now we need to get 2 points on the line.
You can easily get the y-int by substituting x=0 into the equation... therefore the y-int is 11... you have one point on the line: (0,11)
Now that you have one point and we know the gradient or slope which is 3, go from the point you have found (0,11) and go up 3 and across 1 to find a second point... then simply rule a line in between the two points.