Solve the following pairs of linear equations by graphing. Confirm the solution using algebra.
2y = 4x — 2 and 3y = 9x — 6
Intersection at (1,1)
Solution using algebra
Standard form: y = 2x — 1 y = 3x —2
Combining the equations: 2x — 1 = 3x — 2
x 1
Substituting into eql y = 2(1) 1
y=1
Check substituting into eq2 y = 3(1) — 2
y= 1
Solution: x =1, y =1
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