what is the solution to the system of equations ?
x=y-3 x 3y=13
A. (1,4)
B.(4,1)
C.(7,4)
D. (2.5,5.5)
please help my best answer is b
b is definitely wrong.
is it C please help
What is the meaning of the "x" between the two equations?
is the second equation
3y = 13 ?
Then y = 13/3, which does not show up in any of your choices.
A) 1,4
To solve the system of equations x = y - 3 and 3y = 13, we can use the substitution method or the elimination method. Let's use the substitution method:
Step 1: Start with the first equation x = y - 3.
Step 2: Substitute this value of x into the second equation: 3y = 13.
Step 3: Solve the equation 3y = 13 for y.
Divide both sides by 3: y = 13/3.
Step 4: Substitute the value of y back into the first equation to solve for x.
x = (13/3) - 3
Step 5: Simplify and find the value of x.
x = 13/3 - 9/3
x = (13 - 9) / 3
x = 4/3
Therefore, the solution to the system of equations is (4/3, 13/3), which is equivalent to (1.33, 4.33) as approximations.
Comparing the solution to the given options, we can see that the answer (1, 4) in option A is closest to the solution (1.33, 4.33). Thus, the correct option is A, not B.