76x + 46y=474.25
54x+37y+346.25
solve x and y
can you use substitution to do this question math 10 pre cal thanks a lot
yes, you can use substution. You can also use determinants, matricies, and add/subtract to eliminate a variable.
I would use augmented matrix calculator. https://www.emathhelp.net/calculators/algebra-2/system-of-linear-equations-calculator/
To solve the system of equations using substitution, follow these steps:
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x in terms of y:
54x + 37y = 346.25
54x = 346.25 - 37y
x = (346.25 - 37y) / 54
Step 2: Substitute the value of x from step 1 into the other equation.
76((346.25 - 37y) / 54) + 46y = 474.25
Step 3: Solve for y.
Multiply both sides of the equation by 54 to eliminate the denominator:
76(346.25 - 37y) + 54(46y) = 54(474.25)
26095 - 2828y + 2484y = 25617.5
Step 4: Simplify and solve for y.
Combine like terms:
-344y + 26095 = 25617.5
-344y = -477.5
y = (-477.5) / (-344)
y = 1.3895 (rounded to 4 decimal places)
Step 5: Substitute the value of y back into either of the original equations to solve for x.
Let's use the second equation:
54x + 37(1.3895) = 346.25
54x + 51.395 = 346.25
54x = 294.855
x = 5.4575 (rounded to 4 decimal places)
Therefore, the values of x and y that solve the system of equations are:
x ā 5.4575
y ā 1.3895