The solution to the system of equations will be x= 3/2 and y= 1/2.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given equations are y=−x+2 and y=3x−4 to calculate the values of x and y using the substitution method.
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x =6
x =6/4=3/2
Plug x into any one of the given equations to find the value of y:
y =-x+2
Solve for the value of y.
y = - (3/2)+2
y = - (3/2)+4/2
y = 1/2
Hence, the solution for the equation will be x= 3/2 and y= 1/2.
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