Question

5a + 3b = 13
7a + 6b = 20

Answer 1

5a + 3b = 13

7a + 6b = 20

And solve for the values of "a" and "b" using algebraic methods like substitution or elimination.

Explanation:

Solving for a and b in the system of equations:

5a + 3b = 13

7a + 6b = 20

We can multiply the first equation by 2 to get:

10a + 6b = 26

Then, we can subtract the second equation from this to eliminate b:

(10a + 6b) - (7a + 6b) = 26 - 20

3a = 6

Solving for a, we get:

a = 2

Substituting this value into the first equation, we can solve for b:

5a + 3b = 13

5(2) + 3b = 13

10 + 3b = 13

3b = 3

b = 1

Therefore, the solution to the system of equations is:

a = 2

b = 1.