Question Type 1: Solving for a given system of linear equations using technology Exercises

Use a calculator’s simultaneous equations solver to find $(x,y)$ that satisfy

Use a calculator’s simultaneous equations solver to find $(x,y)$ that satisfy

Application. Find the intersection point of the lines $y=2x+1$ and $y=-x+10$ using a calculator’s simultaneous equations solver.

Use a calculator’s simultaneous equations solver to find $(x,y,z)$ that satisfy

Application. A student buys 3 notebooks and 2 pens for $$13$, while another buys 2 notebooks and 5 pens for $$16$. Let $n$ be the price of a notebook and $p$ the price of a pen (in dollars). Use a calculator’s simultaneous equations solver to find $n$ and $p$.

Use a calculator’s simultaneous equations solver to find $(x,y)$ that satisfy

Use a calculator’s simultaneous equations solver to find $(x,y,z)$ that satisfy

Use a calculator’s simultaneous equations solver to determine whether the system has a solution. If so, find $(x,y,z)$; if not, state that there is no solution.

Application. The prices (in dollars) of an apple $a$, a banana $b$, and a cup of cherries $c$ satisfy

• 2 apples, 1 banana, 1 cup of cherries cost $$9$.
• 1 apple, 2 bananas, 3 cups of cherries cost $$14$.
• 3 apples, 1 banana, 2 cups of cherries cost $$13$.

Use a calculator’s simultaneous equations solver to find $(a,b,c)$.

Use a calculator’s simultaneous equations solver to find $(x,y,z)$ that satisfy

Use a calculator’s simultaneous equations solver to find $(x,y,z)$ that satisfy

Use a calculator’s simultaneous equations solver to find $(x,y,z)$ that satisfy