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Video: Solving Two Simultaneous Equations given Their Graphs

Kathryn Kingham

Use the shown graph to solve the given simultaneous equations. 2𝑥 βˆ’ 3𝑦 = 6, 7𝑥 + 3𝑦 = 21

00:47

Video Transcript

Use the shown graph to solve the given simultaneous equations: two π‘₯ minus three 𝑦 equals six, seven π‘₯ plus three 𝑦 equals 21.

To solve these two equations, what we’re looking for is the point that these two lines intersect; the place where their π‘₯- and 𝑦-values are the same. This is the point on the graph where these lines intersect. If you look closely, you’ll see that these lines intersect at the point three, zero.

The π‘₯-value for their intersection is three and the 𝑦-value is zero.