Question

Solve the system of equations y = x + 5 and y = 5x - 11 using a graphical method.

Answer 1

Answer:

The solution is (4, 9).

Step-by-step explanation:

A screenshot of the graph is attached.

Once we get both equations graphed, the solution is their point of intersection.  This point is (4, 9); this means x=4 and y=9.

Answer 2

The solution of the given system of equations is (4, 9).

What is the system of equations?

A system of two linear equations is a set of two equations that need to be verified by the same solution.

The given system of equation is;

y = x + 5

y = 5x - 11

Subtract equation 1 from 2

$\rm y-y=x+5-5x+11\\\\0=-4x+16\\\\4x=16\\\\x=\dfrac{16}{4}\\\\x=4$

Substitute the value of x in equation 1

$\rm y = x + 5\\\\y=4+5\\\\y=9$

Hence, the solution of the given system of equations is (4, 9).

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