Answer:
x = 71/3
y = 59/3
Step-by-step explanation:
You can solve this equation by all three methods.
By substitution:
Rewrite x - y = 4 to make x the subject:
x = 4 + y
Substitute x = 4 + y into x + 2y = 63 and solve for y:
⇒ (4 + y) + 2y = 63
⇒ 4 + y + 2y = 63
⇒ 4 + 3y = 63
⇒ 3y = 59
⇒ y = 59/3
Now substitute found value for y into x - y = 4 and solve for x:
⇒ x - 59/3 = 4
⇒ x = 71/3
By graphing
Graph the two lines. The solution is the point of intersection:
[tex](\dfrac{71}{3},\dfrac{59}{3})[/tex]
By elimination
change the signs of x - y = 4
⇒ - x + y = -4
Now add to x + 2y = 63 to eliminate x:
⇒ 3y = 59
⇒ y = 59/3
Substitute found value of y into x - y = 4 and solve for x:
⇒ x - 59/3 = 4
⇒ x = 71/3
The value of x and y is -15.6 and 19.6 respectively.
The given equations are;
This is one of the easiest ways to solve for a linear equation.
From the equations, we can take one of the variables as subject of formula.
From equation 1, let's take x as the subject of formula
[tex]x + 2y = 63\\x = 63 - 2y...equation(iii)[/tex]
Substitute equation (iii) into equation (ii)
[tex]x - y = 4\\x = 63- 2y\\(63-2y) -y = 4\\63-2y-y=4\\63-3y=4\\3y=63-4\\3y=59\\\frac{3y}{3}=\frac{59}{3} \\ y= 19.6[/tex]
Let's put the value of y into either equation(i) or equation(ii)
[tex]x - y = 4\\y = 19.6\\x - 19.6 = 4\\x = 4 - 19.6\\x = -15.6[/tex]
From the calculation above, the value of x and y is -15.6 and 19.6 respectively.
Learn more on simultaneous equations here;
https://brainly.com/question/16863577
