What is the solution to this system of equations? 10x-y=53 and y= -13x+92/2

and

Step-by-step explanation:

Given

10x - y = 53

y = -13x + 92/2

Required

Find x and y

The above system of equation represent simultaneous equation.

There are few ways of solving simultaneous equation; one of them is substitution method. We'll make use of the substitution method.

Rewrite equations

10x - y = 53 --------- Equation 1

y = -13x + 92/2 --------- Equation 2

Simplify equation 2

y = -13x + 92/2

y = -13x + 46

Substitute -13x + 46 for y in equation 1

10x - y = 53 becomes

10x - (-13x + 46) = 53

Open the bracket

10x + 13x - 46 = 53

Collect like terms

10x + 13x = 46 + 53

23x = 99

Divide both sides by 23

Recall that y = -13x + 46;

Substitute for x in the above expression

y = -13x + 46 becomes

Take LCM

The solution to the above set of equation is and

step-by-step explanation: yes

the answer

b. they are parallel and will never intersect.