Answer:
the ans is :
Step-by-step explanation:
First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.
To find the intersection point, we need to find the point where x and y are the same value in both equations.
The line equations:
6x+2y=26 ................... 1
2x+3y=18 ................... 2
Can be rearranged to the common line equation form: y = mx + c
y = 13 - 3x ................... 3
y = 6 - 2/3 x ................. 4
At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.
13- 3x = 6 - 2/3 x
13 = 6 + 3x - 2/3x ....... add 3x to both sides
13 = 6 + 2 1/3x ........ simplify
7 = 2 1/3 x ........ subtract 13 from both sides
7 = 7/3 x ......... multiply both sides by 3/7
3 = x
To calculate the y-coordinate substitute x = 3 into 3.
y = 13 - 3x
y = 13 - 3(3)
y = 4
To check your answer, substitute the values for x and y into the other equation, 4.
The point of intersection is (3,4).
If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.
