What is the intersection of the lines y=4x+1 and y= -2x + 4

The intersection is point is (1/2 , 3)

Step-by-step explanation:

y = 4x + 1

y = -2x + 4

Next, move the x's to the side of the y's and change the positive to negative and vice versa.

y - 4x = 1

y + 2x = 4

Then, multiply the top or bottom equation by -1

-y + 4x = -1

y + 2x = 4

Or

y - 4x = 1

-y - 2x = -4

Then, subtract the y or add them to erase the y's

4x =  -1

2x = 4

Or

-4x = 1

-2x = -4

Next, add or subtract the x's and what they equal

6x   = 3

Or

-6x = -3

Then, find x

3/6x = 1/2

Or

-3/-6x = 1/2

x = 1/2

Finally, substitute 1/2 into one of the 2 equation

y= 2+1

y = 3

Or

y = -1 +4

y = 3

and get the point of (1/2 , 3)

Thanks for the Question

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45