Choose the graph below that represents the solution to the system of equations
y= 3x + 2
10x + 2y = 20
![Choose the graph below that represents the solution to the system of equationsy 3x 210x 2y 20 class=](https://us-static.z-dn.net/files/dd4/b14d10baef0c4454655840f204acb467.jpg)
Answer:
Graph 3 represents the solution to the system of equations.
Step-by-step explanation:
The given two linear equations of x and y are
y = 3x + 2 ........ (1) and
10x + 2y = 20 .......... (2)
Now, to solve those two equations let substitute the value of y from equation (1) to the equation (2).
Hence, 10x + 2(3x + 2) = 20
⇒ 16x = 16
⇒ x = 1
And from equation (1), y = 3x + 2 = 5
Therefore, the solution of the system of equations (1) and (2) are (1,5).
Therefore, graph 3 represents the solution to the system of equations. (Answer)