Question

Solve the system of equations:
y= 4x+1; 3x + 2y = 13 *

a) x = 1, y = 5
b) x = 5, y = 1
c) x = 0.25, y = 5
d) x = 5, y = 0.25​

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

To solve the system of equations, we can use the substitution method, which involves substituting one equation into the other to eliminate one of the variables. We can start by solving the first equation for y:

y = 4x + 1

We can substitute this expression for y into the second equation:

3x + 2y = 13

3x + 2(4x + 1) = 13

3x + 8x + 2 = 13

11x + 2 = 13

11x = 11

x = 1

Now that we know x = 1, we can substitute this value into the first equation to find y:

y = 4x + 1

y = 4(1) + 1

y = 5

Therefore, the solution to the system of equations is x = 1 and y = 5, so the answer is (a) x = 1, y = 5.


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