Question

PLEASE ANSWER ASAPPP!!!! ‼️

Answer 1

I believe the answer is (-1,4).

I entered the coordinates into a desmos graphing calculator to find the point of intersection.

Answer 2

Answer: (-1, 4)

Don't forget the surrounding parenthesis.

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Step-by-step explanation:

Since y is equal to both 7x+11 and -3x+1, we can equate those two expressions to solve for x.

`7x+11 = -3x+1\\7x+3x = 1-11\\10x = -10\\x = -10/10\\x = -1\\`

Then use this x value to determine y. Pick either of the original equations.

`\begin{array}l\text{Option 1} & \text{Option 2}\\\cline{1-2} y = 7x+11 & y = -3x+1\\y = 7(-1)+11 & y = -3(-1)+1\\y = -7+11 & y = 3+1\\y = 4 & y = 4\\\end{array}`

Both options lead to the same y value (y = 4), which helps confirm we have the correct x value. You do not have to do both options. Pick whichever you prefer better.

The solution is (x,y) = (-1, 4)

This is where the two lines intersect. You can use a graphing calculator like Desmos or GeoGebra to visually confirm the answer.