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Initially drawing a diagram of the two lines helps to establish whether values should be positive or negative and gives a rough approximation of where the answer may be:
By doing this we see the point of intersection is approximately a x value between 0 and -2, and the y co-ordinate is between 0 and 4
Today we will solve this problem by substitution
We call the equation y=2x+4 equation 1
And 2y+3x=1 equation 2
Substituting equation 1 into equation 2 we get:
2(2x+4) + 3x=1
This simplifies to: 4x+8+3x=1
Now we have our x coordinate we can sub it back into either equation to get the y coordinate eg. In equation 1
Y=2(-1) + 4
We can check our result in equation 2:
2(2) + 3(-1) =1see more