Help Please
Solve the following system of equations. Round your answers to the nearest tenth. Your answer will be in the form: (M,N). Find M + N, rounded to the nearest tenth.
5x+2y=7
-2x+6y=9
Yes,it did help! Thank You
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To solve this system of equations, you can use the method of substitution or elimination.
Method 1: Substitution
1. Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x:
5x + 2y = 7
5x = 7 - 2y
x = (7 - 2y) / 5
2. Substitute the expression for x in the second equation:
-2x + 6y = 9
-2[(7 - 2y) / 5] + 6y = 9
Multiply both sides by 5 to eliminate the fraction:
-2(7 - 2y) + 30y = 45
-14 + 4y + 30y = 45
34y = 45 + 14
34y = 59
y = 59 / 34
y ≈ 1.74
3. Substitute the value of y back into the expression for x to find x:
x = (7 - 2(1.74)) / 5
x = (7 - 3.48) / 5
x ≈ 0.7
4. The solution to the system of equations is the ordered pair (x, y):
(0.7, 1.74)
5. Finally, find M + N, rounded to the nearest tenth:
M + N = 0.7 + 1.74 ≈ 2.44
The solution to the system of equations is (0.7, 1.74) and M + N ≈ 2.44.
In the first equation, subtract 2y on both sides and you'll have 5x=7-2y. After that, divide both sides by 5, you get x=(7-2y)/5
In the second equation, substitute the value of x in the first equation to the x in the second equation, you get -2[(7-2y)/5]+6y=9
Do the necessary operations until you obtain the value of y. After that, you substitute the value of y in any of the equations
Hope this helps