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I suggest you solve the equations simultaneously. There are several ways to do it; here is one: since y = 3x + 4 and y is also equal to 2 - 7x, that means that the right sides of the two equations are equal. This gives you the equation:

3x + 4 = 2 - 7x

Solve that for x. Then, replace the value you find in any of the two original equations to find the corresponding value for y.

Another method is to actually plot the lines. However, if the intersection does not happen to be a pair of whole numbers, you can only estimate the value. Plotting is fairly easy since the equations are already in slope-intercept form (i.e., solved for variable "y").

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11y ago

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