infinitely many solutions
Explanation:
The given equations:
4x + 2y = 6 ...(1)
y = -2x + 3 ...(2)
To graph both equations, we can assing values to x in order to get the corresponding values of y
let x = -2, 0, 2
for 4x + 2y = 6
when x = -2
4(-2) + 2y = 6
2y = 6 + 8
y = 7
when x = 0
4(0) + 2y = 6
2y = 6
y = 3
when x = 2
4(2) + 2y = 6
2y = 6 - 8
y = -1
for y = -2x + 3
when x = -2
y = -2(-2) + 3
y = 4 + 3 = 7
when x = 0
y = -2(0) + 3
y = 0 + 3 = 3
when x = -2
y = -2(2) + 3
y = -4 + 3 = -1
plotting the graphs:
From the graph, we see the two equations overlap each other. This means the two equations are the same just that they were written differently.
From the values we got in each equation, we also see the y values are the same
Since both equations give same line, we will have infinitely many solutions
Answer:
<h2>47.0</h2>
Step-by-step explanation:
To start out the equation you know that they both spent the same. The right of the equal sign is what Tanya spent and to the left was what Tony spent.
3x = 4(x-2.25)
If you solve it you get x = $9
Now that is what the cost was for each item that Tanya bought. The number in parenthesis() is what Tony spent on each item.
Plug in 9 to x in (x-2.25)
You should get $6.75 for the amount of each item Tony spent.
Division I think It’s right not sure