Answer:
Line y = -x + 2 intersects line y = 3x + 1
Step-by-step explanation:
The solution to a system of equations is the point at which the two lines intersect. To find this point, first equate the equations and solve for x:
![\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%20%26%20%3D%20y%5C%5C-x%20%2B%202%20%26%20%3D%203x%20%2B%201%5C%5C-x%2B2%2Bx%20%26%20%3D%203x%2B1%2Bx%5C%5C2%20%26%20%3D%204x%20%2B%201%5C%5C2-1%20%26%20%3D4x%2B1-1%5C%5C1%20%26%3D4x%5C%5Cx%20%26%20%3D%5Cdfrac14%5Cend%7Baligned%7D)
Substitute the found value of x into one of the equations, and solve for y:
![y=3\left(\dfrac14\right)+1=\dfrac74](https://tex.z-dn.net/?f=y%3D3%5Cleft%28%5Cdfrac14%5Cright%29%2B1%3D%5Cdfrac74)
Therefore, the solution to the system of equations (the point at which the two lines intersect) is:
![\left(\dfrac14,\dfrac74\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac14%2C%5Cdfrac74%5Cright%29)
So the description that best describes the solution to the system of equations is:
Line y = -x + 2 intersects line y = 3x + 1
Answer:
180
Step-by-step explanation:
12x15=180 simple
Answer:
see below
Step-by-step explanation:
We can name it by the vertex alone <Q
Or by three letters
<PQR or <RQP
Answer:
I think you typed it wrong
Step-by-step explanation:
"3 inches 3 1/2 xinches"?
"4 inches 3 1/4 inches"?
Answer:
614
Step-by-step explanation:
Let the number be x.
50% × x = 307
0.5x = 307
x = 307/0.5
x = 614
50% of 614 is 307.