Solve the following system of equations using the substitution method: (2x + 3y = 12) and (x = y + 4)

Question

Accepted Answer

Step:1 ：First, substitute the second equation into the first, to get: (2(y + 4) + 3y = 12)Step:2 ：This simplifies to: (2y + 8 + 3y = 12)Step:3 ：Which further simplifies to: (5y + 8 = 12)Step:4 ：Subtracting 8 from both sides, we get: (5y = 4)Step:5 ：Dividing both sides by 5, we find that: (y = frac{4}{5})Step:6 ：Substitute (y = frac{4}{5}) back into the second equation to find x: (x = frac{4}{5} + 4)Step:7 ：Simplify to get the value of x: (x = frac{24}{5})

Answer

Step: 1 ：First, substitute the second equation into the first, to get: (2(y + 4) + 3y = 12)Step: 2 ：This simplifies to: (2y + 8 + 3y = 12)Step: 3 ：Which further simplifies to: (5y + 8 = 12)Step: 4 ：Subtracting 8 from both sides, we get: (5y = 4)Step: 5 ：Dividing both sides by 5, we find that: (y = frac{4}{5})Step: 6 ：Substitute (y = frac{4}{5}) back into the second equation to find x: (x = frac{4}{5} + 4)Step: 7 ：Simplify to get the value of x: (x = frac{24}{5})

Solve the following system of equations using the substitution method: $2 x + 3 y = 12$ and $x = y + 4$

Answer

Popular Problems

Solve the following system of equations using the substitution method: 2x+3y=12 and x=y+4

Answer

Popular Problems

Solve the following system of equations using the substitution method: $2 x + 3 y = 12$ and $x = y + 4$