3 field goals and 5 touchdowns were made by the team.
Step-by-step explanation:
Given,
Number of times football team scored = 8
Worth of points scored = 44 points
Each touchdown worth = 7 points
Each field goal worth = 3 points
Let,
x be the number of times touchdown was made
y be the number of times field goal was made
x+y=8 Eqn 1
7x+3y=44 Eqn 2
Multiplying Eqn 1 by 7
![7(x+y=8)\\7x+7y=56\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=7%28x%2By%3D8%29%5C%5C7x%2B7y%3D56%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 2 from Eqn 3
![(7x+7y)-(7x+3y)=56-44\\7x+7y-7x-3y=12\\4y=12](https://tex.z-dn.net/?f=%287x%2B7y%29-%287x%2B3y%29%3D56-44%5C%5C7x%2B7y-7x-3y%3D12%5C%5C4y%3D12)
Dividing both sides by 4
![\frac{4y}{4}=\frac{12}{4}\\y=3](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%3D%5Cfrac%7B12%7D%7B4%7D%5C%5Cy%3D3)
Putting y=3 in Eqn 1
![x+3=8\\x=8-3\\x=5](https://tex.z-dn.net/?f=x%2B3%3D8%5C%5Cx%3D8-3%5C%5Cx%3D5)
3 field goals and 5 touchdowns were made by the team.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
y = 4x - 3
Step-by-step explanation:
The equation for a line is y = mx +c
We need to find m which is the gradient:
To do this pick any two coordinates on the line:
(1, 1) and (2, 5)
Next divide the difference of the y coordinates by the difference of the x coordinates:
5 - 1 / 2 - 1
= 4/1 = 4
so our gradient is 4
We'd write that as y = 4x + c
Next we need to find c which is the y-intercept
To do this just simply look for where the line crosses the y-axis
This is -3
So we'd write that as y = 4x - 3
Hope this helps :)
You can't solve for x. Y=mx+b is slope intercept form and is used to graph equations
Answer:
84
Step-by-step explanation:
Divide
$75 ÷ .89
You should get 84 with a long remainder