1. Solve $\left\{\begin{array}{c}2 x+3 y=10 \\ x+y=4\end{array}\right.$ by graphing.

Step 1 ：Multiply the second equation by -2 to eliminate x: \( -2(x+y) = -2(4) \)

Step 2 ：Simplify the equation: \( -2x - 2y = -8 \)

Step 3 ：Add the first equation and the new equation: \( (2x + 3y) + (-2x - 2y) = 10 + (-8) \)

Step 4 ：Simplify the equation: \( y = 2 \)

Step 5 ：Substitute y back into the second original equation: \( x + 2 = 4 \)

Step 6 ：Solve for x: \( x = 2 \)

Step 7 ：The solution is \(\boxed{(2,2)}\)