Find the co-ordinates of the point of intersection of the two lines (equations of the lines are given below).
2x - 7y = 2
4x + 5y = 42

Hint: solve by elimination

The coordinates of the point of intersection of the two lines is

Explanation:

The two equations are and

To determine the point of intersection of the two lines, we shall the equations using elimination method.

Thus, multiplying the equation by -2, we have,

Substituting in the equation , we get,

Adding both sides by 14, we get,

Dividing both sides by 2, we get,

Thus, the coordinates of the point of intersection of the two lines is

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step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.