Using substitution method, the solution to the system of the equation is (3,7).
The substitution method is "the algebraic method of solving simultaneous linear equation".
According to the question,
y = -4x +19 →(1)
y = 2x + 1 →(2)
- 4x +19 = 2x+1 [since L.H.S of both equation are equal, then equate R.H.S of given equation]
- 4x - 2x = 1 - 19
-6x = -18
x = 3
Substituting x=3 in equation (2), we have
y = 2(3) +1 [substitution method]
y = 6 +1
y = 7
Hence, using substitution method the coordinate points of the graph (3,7) is the solution to the system of equations.
Learn more about substitution method here
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