Answer:
x = -6
y = 9
Step-by-step explanation:
The sum of two numbers is 3
x + y = 3
twice the larger number is 36 more than three times the smaller number
2y = 3x + 36
Divide both sides by 2
y = 1.5x + 18
substitute for y in the first equation
x + (1.5x + 18) = 3
2.5x = -15
divide both sides by 2.5
x = -6
Substitute for x in the first equation
-6 + y = 3
y = 9
The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. The number are x = -6 and y = 9.
A linear equation is an equation in which each term has at max one degree.
Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on a cartesian plane
with axes of those variables, give a straight line.
It is given that the sum of two numbers is 3.
x + y = 3
Also, twice the larger number is 36 more than three times the smaller number, then
2y = 3x + 36
Divide both sides by 2
y = 1.5x + 18
By substituting for y in the first equation
x + (1.5x + 18) = 3
2.5x = -15
now, divide both sides by 2.5
x = -6
Substitute for x in the first equation
-6 + y = 3
y = 9
Learn more about linear equations here:
https://brainly.com/question/27465710
#SPJ2
