SOLUTION: Given that x and y are real numbers satisfying the equations 3x−2y=21 and 7x+3y=95, what is the value of x+y?
Algebra.Com
Question 698107: Given that x and y are real numbers satisfying the equations 3x−2y=21 and 7x+3y=95, what is the value of x+y?
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
STEP 1:
Multiply each equation by a number that will create
opposite coefficients for x.
In this case we will multiply first equation
by -7 and the second equation by 3;
After multiplying we have the following system:
-21x+14y=-147
21x+9y-285
STEP 2: add the two equations together to eliminate x from the system.
23y=138
STEP 3: find y
y=6
STEP 4: substitute the value for y into the original equation to solve for x.
3x-2(6)=21
3x=33
x=11
add x+y and you get 11+6=17
Sorry about that, must have made a mistake somewhere!!!! :)
RELATED QUESTIONS
The real numbers x and y satisfy the equations y(2x − 3y) = 19 and
x(3x − 4 (answered by drk)
Let x and y be real numbers satisfying
\frac{x^2y^2 - 1}{2y - 1} = 4x + y.
Find the... (answered by CPhill,ikleyn,math_tutor2020)
Given that -3 <= 7x + 2y <= 3$ and -4 <= y - x <= 4, what is the maximum possible value... (answered by robertb)
Given that -3 <= 7x + 2y <= 3 and -4 <= y - x <= 4$, what is the maximum possible value... (answered by rothauserc,KMST)
Find the linear function satisfying the given conditions.
The x− and... (answered by josgarithmetic)
Given that xy = 3/2 and both x and y are nonnegative real numbers, find the minimum value (answered by robertb)
Suppose that f(x) = ax + b, where a and b are real numbers.
Given that f(f(f(x))) = 8x... (answered by jim_thompson5910)
what are the X and y values(in whole numbers) of the equations y=-5/7x-11/7 and... (answered by jorel1380)
if x = y^2 and y = x^2, what is the least possible real value of x^2 + x + 1,
where x... (answered by richard1234)