Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

If 7a+3b=20 and 3a+7b=10, what is a+b?

Sagot :

Answer:

3

Step-by-step explanation:

7a+3b=20

3a+7b=10

Substitution:

[tex]\begin{bmatrix}3\cdot \frac{20-3b}{7}+7b=10\end{bmatrix}[/tex]

[tex]a=\frac{20-3\cdot \frac{1}{4}}{7}[/tex]

[tex]a=\frac{11}{4},\:b=\frac{1}{4}[/tex]

11=4 + 1=4 = 12/4

12/4 = 3